A new compressed sensing based approach for null steering of linear arrays by perturbing minimum number of elements

In this paper, a compressive sensing approach for wide null steering in partially adaptive arrays is introduced. The proposed method imposes the wide nulls by canceling the whole sidelobes where the interference signals arrive. The problem is first formulated and relaxed to obtain a convex programming problem. The relaxed problem is then solved using iterative re-weighted minimization algorithm to enhance the sparsity in the final solution. Simulations were conducted for one and two wide nulls steering in small and large linear arrays. Results show that the proposed algorithm is capable of steering the required nulls with small number of perturbed array elements.